Please explain parts b, c, and d. **Interference of Light Rays in Transparent Materials**Two in-phase, monochromatic light rays traverse transparent materials with differing indices of refraction but a common length. The wavelength of the light is \(\lambda = 450 \text{ nm}\) . Far from the materials, the light rays are combined without further phase shifts and there is interference.**a.** If \( n_1 = 1.500 \), \( n_2 = 1.575 \) and \( L = 15.0 \mu m \), what is the phase difference in wavelengths \((N_2 - N_1)\)?**b.** If \( n_1 = 1.425 \), \( n_2 = 1.575 \) and \( L = 15.0 \mu m \), what is the phase difference in wavelengths \((N_2 - N_1)\)?**c.** If \( n_1 = 1.425 \), \( n_2 = 1.575 \) and \( L = 10.5 \mu m \), what is the phase difference in wavelengths \((N_2 - N_1)\)?**d.** Rank the three cases above, a, b, and c, in terms of brightness for the combined light (from brightest to dimmest, use “=” to indicate if two or more are equal in brightness).### Diagram Explanation:The diagram included in the question shows two light rays (represented by red arrows) traversing two different transparent materials with indices of refraction \(n_1\) and \(n_2\). The length \(L\) is the same for both materials. The materials are shown as two rectangular blocks, with the material having index of refraction \(n_1\) in the yellow region and the material having index of refraction \(n_2\) in the green region.The light rays eventually recombine after passing through the materials of different refractive indexes leading to interference.### Calculation and Analysis:The phase difference in wavelengths \((N_2 - N_1)\) for each case can be calculated using the formula:\[ \Delta N = \frac{(n_2 - n_1) L}{\lambda} \]Where: - \(\Delta N\) is the phase difference in wavelengths- \(n_1\) and \(n_2\) are

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3. Two in phase, monochromatic light rays traverse transparent materials with differing indices of refraction but a common length. The wavelength of the light is 1 =450. nm . Far from the materials the light rays are combined without further phase shifts and there is interference. a. If n, =1.500 n, =1.575 and L=15.0µm what is the phase difference in wavelengths ( N, - N, )? b. If n, =1.425 n, =1.575 and L=15.0µm what is the phase difference in wavelengths ( N, - N,)? c. If n, =1.425 n =1.575 and L=10.5µm what is the phase difference in wavelengths ( N, - N, )? d. Rank the three cases above, a, b, and c, in terms of brightness for the combined light (from brightest to dimmest, use "=" to indicate if two or more are equal in brightness).

3. Two in phase, monochromatic light rays traverse transparent materials with differing indices of refraction but a common length. The wavelength of the light is 1 =450. nm . Far from the materials the light rays are combined without further phase shifts and there is interference. a. If n, =1.500 n, =1.575 and L=15.0µm what is the phase difference in wavelengths ( N, - N, )? b. If n, =1.425 n, =1.575 and L=15.0µm what is the phase difference in wavelengths ( N, - N,)? c. If n, =1.425 n =1.575 and L=10.5µm what is the phase difference in wavelengths ( N, - N, )? d. Rank the three cases above, a, b, and c, in terms of brightness for the combined light (from brightest to dimmest, use "=" to indicate if two or more are equal in brightness).